Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframInstitute`Hypergraph`
HypergraphHadamardProduct  |
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backs on objects, so and are the same operation.
NonCommutativeMultiply
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A hyperedge that appears times in hg1 and times in hg2 appears times in the product; a hyperedge missing from either argument does not appear in the product at all.
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1
𝑘
2
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1
𝑘
2
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For more than two arguments, the product is computed by folding pairwise over the arguments.
Examples
(5)
Basic Examples
(2)
Take the Hadamard product of two hypergraphs that share an edge:
In[1]:=
EdgeList
[{{1,2},{2,3}}],
[{{1,2},{1,2}}]
 | HypergraphHadamardProduct |
 | Hypergraph |
| Hypergraph |
Out[1]=
{{1,2},{1,2}}
The shared edge appears once in the first hypergraph and twice in the second, so it appears twice in the product; , present only in the first argument, is dropped.
{1,2}
{2,3}
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backs , so multiplying two hypergraphs gives the same result:
NonCommutativeMultiply
In[1]:=
EdgeList
[{{1,2},{2,3}}]**
[{{1,2},{1,2}}]
 | Hypergraph |
| Hypergraph |
Out[1]=
{{1,2},{1,2}}
Scope
(3)
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